Results 31 to 40 of about 797 (117)

Exact controllability problem of a wave equation in non-cylindrical domains

Electronic Journal of Differential Equations, 2015
Let $\alpha: [0, \infty)\to(0, \infty)$ be a twice continuous differentiable function which satisfies that $\alpha(0)=1$, $\alpha'$ is monotone and ...
Hua Wang, Yijun He, Shengjia Li
doaj  

Weak solvability of a variational parabolic equation with a nonlocal-in-time condition on the solution

Современная математика: Фундаментальные направления
In a separable Hilbert space, for an abstract linear parabolic equation with a weighted integral condition of a special type in time on the solution, the existence and uniqueness of a weak solution are proved.
A. S. Bondarev, A. A. Petrova, O. M. Pirovskikh   +2 more
doaj   +1 more source

Simultaneous exact controllability for Maxwell equations and for a second-order hyperbolic system

Electronic Journal of Differential Equations, 2010
We present a result on "simultaneous" exact controllability for two models that describe two hyperbolic dynamics. One is the system of Maxwell equations and the other a vector-wave equation with a pressure term.
Boris V. Kapitonov, Gustavo Perla Menzala   +1 more
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Subdiffusive Source Sensing by a Regional Detection Method

Sensors, 2019
Motivated by the fact that the danger may increase if the source of pollution problem remains unknown, in this paper, we study the source sensing problem for subdiffusion processes governed by time fractional diffusion systems based on a limited number ...
Weijing Song, Fudong Ge, YangQuan Chen
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Solving and classifying the solutions of the Yang-Baxter equation through a differential approach. Two-state systems

Journal of High Energy Physics, 2018
The formal derivatives of the Yang-Baxter equation with respect to its spectral parameters, evaluated at some fixed point of these parameters, provide us with two systems of differential equations.
R. S. Vieira
doaj   +1 more source

Exact controllability for a string equation in domains with moving boundary in one dimension

Electronic Journal of Differential Equations, 2015
We consider a string equation in a domain with moving boundary. By using the multiplier method in non-cylindrical domains, we establish the exact boundary controllability in domains with moving boundary, and obtain a weaker condition on the time ...
Haicong Sun, Huifen Li, Liqing Lu
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Internal exact controllability and uniform decay rates for a model of dynamical elasticity equations for incompressible materials with a pressure term

Electronic Journal of Qualitative Theory of Differential Equations, 2018
This paper is concerned with the internal exact controllability of the following model of dynamical elasticity equations for incompressible materials with a pressure term, $$\phi''-\Delta \phi=-\nabla p,$$ and it is also devoted to the study of the ...
Adriana Almeida, María Astudillo Rojas, Marcelo Cavalcanti, Janaina Zanchetta   +3 more
doaj   +1 more source

Exact Null Controllability of String Equations with Neumann Boundaries

Journal of Mathematics
This article focuses on the exact null controllability of a one-dimensional wave equation in noncylindrical domains. Both the fixed endpoint and the moving endpoint are Neumann-type boundary conditions. The control is put on the moving endpoint. When the
Lizhi Cui, Jing Lu
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Analytic solution to a class of integro-differential equations

Electronic Journal of Differential Equations, 2003
In this paper, we consider the integro-differential equation $$ epsilon^2 y''(x)+L(x)mathcal{H}(y)=N(epsilon,x,y,mathcal{H}(y)), $$ where $mathcal{H}(y)[x]=frac{1}{pi}(P)int_{-infty}^{infty} frac{y(t)}{t-x}dt$ is the Hilbert transform.
Xuming Xie
doaj  

On-Line Prediction of the Quantum Density Matrix

Quantum Reports
Time evolution of open quantum systems is governed by the master equation. The master equation, which is a matrix formalism, is the time derivative of the density matrix, which contains the complete information on the state of a quantum system.
Mehrzad Soltani, Mark J. Balas
doaj   +1 more source